Environmental Statistical Approaches for Attributes and Variables

COMPETITIVE EXAM MCQs SERIES of ENVIRONMENTAL SCIENCE for UGC-NET/JRF, SLETARS, GATE, and other entrance tests –  Environmental Statistical Approaches for Attributes and Variables.

Syllabus Outline

  1. Classification of data into attributes and variables.
  2. Attributes (qualitative data): nominal and ordinal attributes.
  3. Variables (quantitative data): discrete and continuous variables.

This quiz contains concept-basedmost frequently asked 25 MCQs of “Environmental Statistical Approaches for Attributes and Variables“. Each question has a single correct/most appropriate answer.

*****

1. The measurement of dissolved oxygen concentration in water bodies (measured in mg/L) is an example of:

A) Discrete variable

B) Continuous variable

C) Nominal variable

D) Ordinal variable

Answer: B)

2. Air quality ratings categorised as “Good”, “Moderate”, “Unhealthy”, “Very Unhealthy” represent:

A) Nominal attribute

B) Ordinal attribute

C) Discrete quantitative variable

D) Continuous quantitative variable

Answer: B)

3. The variable “species name” in biodiversity studies is classified as:

A) Ordinal variable

B) Interval variable

C) Nominal variable

D) Ratio variable

Answer: C)

4. The count of bird species observed in different habitats is an example of:

A) Continuous variable

B) Nominal attribute

C) Discrete variable

D) Ordinal attribute

Answer: C)

5. The classification of water bodies as “River”, “Lake”, “Pond”, “Stream” represents which type of attribute?

A) Quantitative discrete

B) Quantitative continuous

C) Qualitative nominal

D) Qualitative ordinal

Answer: C)

6. In environmental monitoring, if noise levels are recorded as “Below 40 dB”, “40-60 dB”, “60-80 dB”, “Above 80 dB”, this represents:

A) Continuous quantitative data that has been grouped

B) Naturally discrete quantitative data

C) Nominal qualitative attribute

D) True ordinal measurement scale

Answer: A)

7. In ecological research, the Shannon diversity index can theoretically range from 0 to positive infinity. This makes it:

A) A discrete quantitative variable

B) A continuous quantitative variable

C) An ordinal qualitative attribute

D) A nominal qualitative attribute

Answer: B)

8. The variable “habitat quality” assessed using scores 1, 2, 3, 4, 5 (where 1=Poor, 5=Excellent) is:

A) Continuous because it uses numbers

B) Discrete because it takes specific values

C) Ordinal because it represents ranked categories

D) Nominal because categories are arbitrarily assigned

Answer: C)

9. Which statement correctly distinguishes between attributes and variables in statistics?

A) Attributes are always numerical; variables are always categorical

B) Variables represent measurable characteristics, and attributes represent qualitative properties

C) Attributes and variables are identical terms in statistics

D) Variables are only used for experimental data, attributes for observational data

Answer: B)

10. In environmental impact assessment, when projects are classified by impact type as “Physical”, “Chemical”, “Biological”, “Social”, this classification is:

A) Ordinal because impacts can be ranked by severity

B) Continuous because impacts vary in magnitude

C) Nominal because categories are distinct without natural order

D) Discrete because there are countable categories

Answer: C)

11. The count of pollution violations recorded per industrial facility per year represents:

A) Continuous quantitative variable

B) Discrete quantitative variable

C) Ordinal qualitative variable

D) Nominal qualitative variable

Answer: B)

12. The variable “weather condition” recorded as “Sunny”, “Cloudy”, “Rainy”, “Stormy” during environmental monitoring is:

A) Ordinal because weather severity increases

B) Continuous because the weather varies gradually

C) Nominal because categories are distinct without inherent order

D) Discrete because weather types are countable

Answer: C)

13. When environmental monitoring produces “non-detect” values below instrument detection limits, the appropriate statistical treatment recognises this as:

A) Missing data to be ignored

B) Zero values for analysis

C) Left-censored continuous data

D) Ordinal categories below the threshold

Answer: C)

14. The biodiversity measure “effective number of species” calculated from the Shannon index represents:

A) Discrete variable because species are counted

B) Continuous variable despite integer interpretation

C) Ordinal variable ranking diversity levels

D) Nominal variable categorising community types

Answer: B)

15. In environmental justice studies, when socioeconomic status is measured using composite indices (0-100 scale), but only reported in quintiles (1st, 2nd, 3rd, 4th, 5th), the working variable becomes:

A) Continuous quantitative

B) Discrete quantitative

C) Ordinal qualitative

D) Nominal qualitative

Answer: C)

16. The measurement of environmental noise using the logarithmic decibel scale creates a mathematical relationship where:

A) Equal intervals represent equal acoustic energy differences

B) The variable remains continuous but with non-linear properties

C) The scale converts continuous sound energy into discrete categories

D) Ordinal rankings replace continuous measurements

Answer: B)

17. When environmental variables are standardised using z-scores for comparison across different units, the transformed variables:

A) Become discreet due to standardisation

B) Remain continuous with altered scale properties

C) Convert to ordinal rankings

D) Transform into nominal categories

Answer: B)

18. In environmental modelling, when continuous predictor variables are discretised into bins for non-parametric analysis, the statistical implications include:

A) No loss of information occurs

B) Increased statistical power in all cases

C) Potential loss of information about within-bin variation

D) Conversion to truly ordinal measurements

Answer: C)

19. The environmental concept of “carrying capacity”, when measured as maximum sustainable population size, represents:

A) Discrete variable because populations are counted

B) Continuous variable because capacity varies continuously

C) Ordinal variable ranking sustainability levels

D) Nominal variable categorising ecosystem types

Answer: B)

20. The environmental measurement “species evenness” calculated using Pielou’s evenness index produces values between 0 and 1, representing:

A) Discrete proportional categories

B) Continuous, bounded quantitative variable

C) Ordinal evenness rankings

D) Nominal diversity classifications

Answer: B)

21. Contemporary environmental monitoring using Internet of Things (IoT) sensors generates high-frequency continuous data streams. When these measurements are transmitted as discrete digital signals, the statistical consideration for analysis is:

A) Digital transmission changes the variable type to discrete

B) The underlying continuous nature is preserved despite digital encoding

C) Data becomes ordinal due to signal quantisation

D) Nominal coding replaces quantitative measurement

Answer: B)

22. Recent research in environmental genomics analyses gene expression levels (continuous) alongside species presence/absence data (binary nominal). This mixed-type analysis requires:

A) Converting all variables to the same measurement type

B) Specialised statistical methods for heterogeneous data types

C) Separate analysis of each variable type

D) Transformation of nominal to continuous variables

Answer: B)

23. Current studies on urban environmental justice use machine learning to analyse relationships between continuous pollution exposure variables and categorical demographic attributes. The analytical challenge involves:

A) All variables must be continuous for machine learning

B) Categorical variables cannot be used as predictors

C) Mixed variable types require appropriate algorithm selection

D) Demographic variables must be converted to continuous scales

Answer: C)

24. Modern environmental citizen science projects collect data where participants report observations using mobile apps with standardised categorical responses alongside GPS coordinates (continuous). This mixed data structure requires:

A) Ignoring categorical responses for spatial analysis

B) Converting GPS coordinates to categorical regions

C) Integrated analysis methods for mixed spatial-categorical data

D) Separate analysis of categorical and continuous components

Answer: C)

25. Emerging research on environmental tipping points examines how continuous environmental drivers lead to discrete state changes in ecosystems. This phenomenon represents:

A) Measurement error in continuous variables

B) Fundamental discrete nature of all environmental processes

C) Threshold effects, where continuous inputs produce categorical outcomes

D) Impossibility of continuous environmental measurements

Answer: C)

*****

Previous: Environmental Governance by International Institutions: IPCC, UNEP, and IGBP

Next:

References

  1. Gupta, S.P. (2020) Statistical Methods, Sultan Chand & Sons, 44th edition.
  2. Barnett, V. (2004) Environmental Statistics: Methods and Applications, Wiley, 1st edition.
  3. Manly, B.F.J. (2008) Statistics for Environmental Science and Management, Chapman and Hall/CRC, 2nd edition.
If you liked this post, share it!